当然，以下是一些离散数学命题逻辑的习题供你参考：1. 给定命题 p: "I am happy" 和 q: "It is raining"，写出以下复合命题的真值表达式： a) p ∧ q b) p ∨ q c) ¬p d) p → q2. 对于命题 p: "The car is red" 和 q: "The car is expensive"，使用符号化表示以下陈述： a) The car is not red and it is expensive. b) The car is either red or expensive. c) If the car is red, then it is expensive.3. 使用推理规则证明以下推理： Premise: p → q Premise: ¬q Conclusion: ¬p4. 给定命题 p: "It is sunny"，q: "I go swimming"，r: "I go hiking"，使用符号化表示以下陈述： a) If it is sunny, then I go swimming and go hiking. b) I go swimming or I go hiking, but not both.这些习题涵盖了命题逻辑的基本概念和推理技巧。希望对你有所帮助！如果你需要更多习题或者对某个习题有疑问，请随时告诉我。